辫子张量范畴M_A^H

Braided tensor category M_A^H

设 ( H ,σ)是余拟三角双代数 ,A为右 H -余模代数 ,则有相关 Hopf模范畴 MHA.在 MHA 中若定义张量积 运算 ,则证明了 MHA 是一个张量范畴 .同时给出了 MHA 是辫子张量范畴的一个充分条件 .特别地 ,MH

Let (H,σ) be a coquasitriangular bialgebra,Let A be a right H-comodule algebra,then,there is a category M\+H\-A of relative Hopf module,it was proved a binary operation in M\+H\-A,M\+H\-A to be a tensor category. Furthermore,M\+H\-A would be a braided tensor category if giving suitable conditions.As a corollary M\+H was also a braided tensor category.